Multiplication of sections of stable vector bundles: the injectivity range.
Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Edoardo Ballico (1998)
Collectanea Mathematica
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Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.
Ballico, E. (2001)
Rendiconti del Seminario Matematico
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Ballico, E. (1999)
Serdica Mathematical Journal
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Here we study the integers (d, g, r) such that on a smooth projective curve of genus g there exists a rank r stable vector bundle with degree d and spanned by its global sections.
Madonna, C. (1998)
Rendiconti del Seminario Matematico
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Stephen S. Shatz (1977)
Compositio Mathematica
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Edoardo Ballico (1999)
Commentationes Mathematicae Universitatis Carolinae
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Here we give conditions and examples for the surjectivity or injectivity of the restriction map , where is a projective variety, is a vector bundle on and is a “general” -dimensional subscheme of , union of general “fat points”.
L. Brambila-Paz, E. Gómez-González, F. Pioli (2001)
Collectanea Mathematica
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